#include <Eigen/Dense>
#include <iostream>

using namespace std;
using namespace Eigen;

int
main()
{
	Matrix3f A;
	Vector3f b;
	A << 1, 2, 3, 4, 5, 6, 7, 8, 10;
	b << 3, 3, 4;
	cout << "Here is the matrix A:\n" << A << endl;
	cout << "Here is the vector b:\n" << b << endl;
	Vector3f x = A.colPivHouseholderQr().solve(b);
	cout << "The solution is:\n" << x << endl;
}
